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Finding the Fourth Proportional to 201,058.70, 301,758.15 and 82,814.90

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Solution

The fourth proportional to 201,058.70, 301,758.15 and 82,814.90 is: 124,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,058.70 : 301,758.15 = 82,814.90 : x
  2. Step 2: Convert to fraction form
    201,058.70/301,758.15 = 82,814.90/x
  3. Step 3: Cross multiply
    201,058.70x = 301,758.15 × 82,814.90
  4. Step 4: Simplify right side
    201,058.70x = 24,990,071,016.44
  5. Step 5: Solve for x
    x = 24,990,071,016.44/201,058.70
  6. Step 6: Final answer
    x = 124,292.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.